Results 11 to 20 of about 575,970 (287)
Mathematics, 2023 Mathematical models of the nonlinear transversal oscillations for a beam moving along its axis have been studied. These models deal with the nonlinearity of body elastic properties and with the influence of physical–mechanical and kinematic parameters on
Andrii Slipchuk +2 more
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ON THE K-POWER PART RESIDUE FUNCTION [PDF]
, 2006 The main purpose of this paper is using the elementary and analytic methods to study the asymptotic properties of the k-power part residue, and give an interesting asymptotic formula for ...
Yang, Hai
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Asymptotic methods for solving boundary value eigenvalue problems [PDF]
E3S Web of Conferences, 2020 The aim of the study is an approximate construction with a given accuracy of solutions of boundary value problems for eigenvalues under various types of boundary conditions.
Zhukova Galina
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, 2021 In this lecture notes, we will introduce Asymptotics, then we will give a short glimpse on Perturbation theory (regular versus singular), which plays a crucial role especially in theoretical physics. Our goal is to find Asymptotic series that approximates the values of integrals depending on some parameter or the solutions of differential equations ...
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Asymptotic investigation of a nonlinear model of string vibrations
Lietuvos Matematikos Rinkinys, 2016 The mathematical model of nonlinear oscillations of a weightless string is analysed. The uniformly valid asymptotic approximation in the long time interval, which is inversely proportional to the small parameter, is constructed.
Olga Lavcel-Budko +2 more
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Weak resonances of periodical nonlinear oscillations
Lietuvos Matematikos Rinkinys, 2017 The mathematical model of nonlinear oscillations of weightless string is analyzed. Coefficients of the mathematical model and initial conditions are periodical functions of the space variable.
Olga Lavcel-Budko +1 more
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The asymptotic iteration method revisited [PDF]
Journal of Mathematical Physics, 2020 The asymptotic iteration method is a technique for solving analytically and approximately the linear second-order differential equation, especially the eigenvalue problems that frequently appear in theoretical and mathematical physics. The analysis and mathematical justifications of the success and failure of the asymptotic iteration method are ...
Mourad E. H. Ismail, Nasser Saad
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Optimization of a linear dynamic system with periodic changing parameters
Журнал Белорусского государственного университета: Математика, информатика, 2020 The article deals with the problem of optimal control of a linear dynamic system with periodic parameters. The qualitative theory of such problems is developed very fully if the period of coefficients of the system is not very small. With a small period,
Valerii V. Krakhotko +2 more
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Nonstationary Equations for the Reaction Layer with the Degenerate Equilibrium Points
Моделирование и анализ информационных систем, 2017 We consider a nonstationary process of spreading some substance in a one-dimensional spatially inhomogeneous system of cells. It is assumed that a change in the concentration of \(u_n (t)\) in a cell with the number \(n\) with time \(t\) is ...
Aleksei A. Bykov, Kristina E. Ermakova
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Testing the asymptotic relation for period spacings from mixed modes of red giants observed with the Kepler mission [PDF]
, 2016 Dipole mixed pulsation modes of consecutive radial order have been detected for thousands of low-mass red-giant stars with the NASA space telescope Kepler.
Aerts, C. +9 more
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